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If two numbers are 48 and 180, what is their HCF?

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Question: If two numbers are 48 and 180, what is their HCF?

Options:

  1. 12
  2. 24
  3. 36
  4. 48

Correct Answer: 24

Solution: 

The HCF of 48 and 180 is 12, as it is the largest number that divides both.

If two numbers are 48 and 180, what is their HCF?

Practice Questions

Q1
If two numbers are 48 and 180, what is their HCF?
  1. 12
  2. 24
  3. 36
  4. 48

Questions & Step-by-Step Solutions

If two numbers are 48 and 180, what is their HCF?
  • Step 1: List the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Step 2: List the factors of 180. The factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
  • Step 3: Identify the common factors from both lists. The common factors are 1, 2, 3, 4, 6, 12.
  • Step 4: Find the largest common factor. The largest common factor is 12.
  • Step 5: Conclude that the HCF of 48 and 180 is 12.
  • Highest Common Factor (HCF) – The HCF is the largest positive integer that divides two or more numbers without leaving a remainder.
  • Prime Factorization – Finding the HCF can involve breaking down numbers into their prime factors to identify common factors.
  • Division Method – Another method to find the HCF is through the division method, where you repeatedly divide the larger number by the smaller number.
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